Loading…

Questions and solutions are free, always.

Practise

Practice
Revision queue
Revision planner
Take a test
Build a test

Browse

All topics
Blog
Notes & printables
Physics
Chemistry
Mathematics

Account

Your numbers
Study plan
Saved
Plus
Privacy
Terms
Delete account

Skip to content

JEE Main 2019 12 Apr Morning shift Question Paper with Solutions | JEE Arc

Past papers

Ctrl K

Practice
Revise
Tests
Topics
More
Dashboard Settings My progress Notes & printables Revision planner Study plan Saved questions Explore Plus

81days to JEE Main

Study

PracticePractice

Study planPlanPlus

Library

Past papersPapers

ProgressProgress

SettingsSettings

JEE Arc Plus₹49 a month. Mocks, plans, notes.→?GuestSign in to save progress

JEE Main 201912 Apr, Morning shift

Physics 16Chemistry 20Mathematics 29

Physics

Q5987An excited He⁺ ion emits two photons in succession, with wavelengths 108.5 nm and 30.4 nm, in making a transition to ground state. The quantum number n…Atoms and Nuclei
Q6237A man (mass = 50 kg) and his son (mass = 20 kg) are standing on a frictionless surface facing each other. The man pushes his son so that he starts moving at a…Rotational Motion
Q6746An electromagnetic wave is represented by the electric field E = E₀ n sin [ ω t + (6y - 8z) ]. Taking unit vectors in x, y and z directions to be i, j, k, the…Electromagnetic Waves
Q6942A point dipole p = - p₀ x is kept at the origin. The potential and electric field due to this dipole on the y-axis at a distance d are, respectively: (Take V=…Electrostatics
Q7364Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat of mixture at constant volume ?…Thermodynamics
Q7453When M₁ gram of ice at –10^(o)C (specific heat = 0.5 cal g^–1 ^(o)C^–1) is added to M₂ gram of water at 50C, finally no ice is left and the water is at 0°C…Properties of Solids and Liquids
Q7517At 40^(o) C, a brass wire of 1 mm radius is hung from the ceiling. A small mass, M is hung from the free end of the wire. When the wire is cooled down from…Properties of Solids and Liquids
Q7621A magnetic compass needle oscillates 30 times per minute at a place where the dip is 45^(o), and 40 times per minute where the dip is 30^(o). If B₁ and B₂ are…Magnetic Effects of Current and Magnetism
Q7676A thin ring of 10 cm radius carries a uniformly distributed charge. The ring rotates at a constant angular speed of 40 π rad s^–1 about its axis…Magnetic Effects of Current and Magnetism
Q7780A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a distance R from it. If t₁ and t₂ are the…Kinematics
Q7781The trajectory of a projectile near the surface of the earth is given as y = 2x – 9x². If it were launched at an angle θ ₀ with speed v₀ then (g = 10 ms^–2):Kinematics
Q8046A person of mass M is, sitting on a swing of length L and swinging with an angular amplitude θ ₀. If the person stands up when the swing passes through its…Rotational Motion
Q8225Which of the following combinations has the dimension of electrical resistance (₀ is the permittivity of vacuum and μ ₀ is the permeability of vacuum)?Units and Measurements
Q8399The value of numerical aperature of the objective lens of a microscope is 1.25. If light of wavelength 5000 A^(o) is used, the minimum separation between two…Optics
Q8419In a double slit experiment, when a thin film of thickness t having refractive index μ. is introduced in front of one of the slits, the maximum at the centre…Optics
Q8527A submarine (A) travelling at 18 km/hr is being chased along the line of its velocity by another submarine (B) travelling at 27 km/hr. B sends a sonar signal…Oscillations and Waves

Chemistry

Q156Glucose and Galactose are having identical configuration in all the positions except positionBiomolecules
Q231Which of the following statements is not true about RNA?Biomolecules
Q293The correct statement among the following is:Chemical Bonding and Molecular Structure
Q507In the following reaction; xA → yB log ₁₀[ - (d[ A ])/dt ] = log ₁₀[ (d[ B ])/dt ] + 0.3010 'A' and 'B' respectively can be:Chemical Kinetics
Q986Given CO³⁺ + e^– → CO₂⁺; E^(o) = + 1.81 V Pb⁴⁺ + 2e^– → Pb₂⁺; E^(o) = + 1.67 V Ce⁴⁺ + e^– → Ce³⁺; E^(o) = + 1.61 V Bi³⁺ + 3e^– → Bi; E^(o) = + 0.20 V…Redox Reactions and Electrochemistry
Q1020The correct set of species responsible for the photochemical smog is:Environmental Chemistry
Q1245The metal that gives hydrogen gas upon treatment with both acid as well as base is:Hydrogen
Q1335What is the molar solubility of Al(OH)₃ in 0.2 M NaOH solution ? Given that, solubility product of Al(OH)₃ = 2.4 × 10^–24:Equilibrium
Q1352The idea of froth floatation method came from a person X and this method is related to the process Y of ores. X and Y, respectively, are:Isolation of Elements
Q1679Which of the following is a thermosetting polymer?Polymers
Q1725An organic compound 'A' is oxidizod with Na₂O₂ followed by boiling with HNO₃. The resultant solution is then treated with ammonium molybdate to yield a yellow…Principles Related to Practical Chemistry
Q1815An example of a disproportionation reaction is:Redox Reactions and Electrochemistry
Q1875The correct sequence of thermal stability of the following carbonates is:S Block Elements
Q1926An element has a face-centred cubic (fcc) structure with a cell edge of a. The distance between the centres of two nearest tetrahedral voids in the lattice is:Solid State
Q2033The mole fraction of a solvent in aqueous solution of a solute is 0.8. The molality (in mol kg^–1) of the aqueous solution is:Some Basic Concepts in Chemistry
Q20735 moles of AB₂ weigh 125 × 10^–3 kg and 10 moles of A₂B₂ weigh 300 × 10^–3 kg. The molar mass of A (M A) and molar mass of B (M B) in kg mol are:Some Basic Concepts in Chemistry
Q2140The group number, number of valence electrons, and valency of an element with atomic number 15, respectively, are:Atomic Structure
Q2239Peptization is a:Surface Chemistry
Q2318An ideal gas is allowed to expand form 1 L to 10 L against a constant external pressure of I bar. The work done in kJ is:Chemical Thermodynamics
Q2355Enthalpy of sublimation of iodine is 24 cal g^–1 at 200 ^(o)C. If specific heat of I₂(s) and l₂ (vap) are 0.055 and 0.031 cal g^–1K ^–1 respectively, then…Chemical Thermodynamics

Mathematics

Q2408If the line (x - 2)/3 = (y + 1)/2 = (z - 1)/(- 1) intersects the plane 2x + 3y – z + 13 = 0 at a point P and the plane 3x + y + 4z = 16 at a point Q, then PQ…Three Dimensional Geometry
Q2711If m is the minimum value of k for which the function f(x) = x √(kx - x²) is increasing in the interval [0,3] and M is the maximum value of f in [0, 3] when k…Limit, Continuity and Differentiability
Q2744A 2 m ladder leans against a vertical wall. If the top of the ladder begins to slide down the wall at the rate 25 cm/sec, then the rate (in cm/sec.) at which…Limit, Continuity and Differentiability
Q2813If the area (in sq. units) of the region (x, y): y² ≤ 4x, x + y ≤ 1, x ≥ 0, y ≥ 0 is a 2 + b, then a – b is equal to:Integral Calculus
Q2915The coefficient of x¹⁸ in the product (1 + x) (1 – x)¹⁰ (1 + x + x²)⁹ is:Binomial Theorem and Its Simple Applications
Q3048If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is 90^(o), then the length (in cm) of their common chord is:Coordinate Geometry
Q3180The equation |z – i| = |z – 1|, i = √(- 1), represents:Complex Numbers and Quadratic Equations
Q3305Let f: R → R be a continuously differentiable function such that f(2) = 6 and f'(2) = 1/48. If ∫₆^(f(x)) 4t³ dt = (x - 2)g(x), then lim x → 2 g(x) is equal to:Integral Calculus
Q3364If ∫₀^((π)/2) (cot x)/(cot x + cos ecx) dx = m(π + n), then m.n is equal toIntegral Calculus
Q3523Consider the differential equation, y²dx + (x - 1/y)dy = 0, If value of y is 1 when x = 1, then the value of x for which y = 2, is:Differential Equations
Q3668If e^(y) + xy = e, the ordered pair (dy/dx, d²y d x²) at x = 0 is equal to:Limit, Continuity and Differentiability
Q3729If the normal to the ellipse 3x² + 4y² = 12 at a point P on it is parallel to the line, 2x + y = 4 and the tangent to the ellipse at P passes through Q(4,4)…Coordinate Geometry
Q3819For x (0, 3/2), let f(x) = x, g(x) = tan x and h(x) = (1 - x²)/(1 + x²). If φ (x) = ((hof)og)(x), then φ ((π)/3) is equal to:Sets, Relations and Functions
Q4049The integral ∫ (2x³ - 1)/(x⁴ + x) dx is equal to: (Here C is a constant of integration)Integral Calculus
Q4092The value of sin ⁻¹(12/13) - sin ⁻¹(3/5) is equal to:Trigonometry
Q4230If α and β are the roots of the equation 375x² – 25x – 2 = 0, then lim n → ∞ Σ r = 1 ⁿ α ^(r) + lim n → ∞ Σ r = 1 ⁿ β ^(r) is equal to:Limit, Continuity and Differentiability
Q4319If the truth value of the statement p → (~q r) is false (F), then the truth values of the statements p, q, r are respectively:Mathematical Reasoning
Q4448If B = [ 5 2α 1 0 2 1 α 3 - 1 ] is the inverse of a 3 × 3 matrix A, then the sum of all values of α for which det(A) + 1 = 0, is:Matrices and Determinants
Q4643If A is a symmetric matrix and B is a skew-symmetric matrix such that A + B = [ 2 3 5 - 1 ], then AB is equal to:Matrices and Determinants
Q4683Let P be the point of intersection of the common tangents to the parabola y² = 12x and the hyperbola 8x² – y² = 8. If S and S' denote the foci of the…Coordinate Geometry
Q4826The number of ways of choosing 10 objects out of 31 objects of which 10 are identical and the remaining 21 are distinct, is:Permutations and Combinations
Q4878Let a random variable X have a binomial distribution with mean 8 and variance 4. If P(X ≤ 2) = k/(2¹⁶), then k is equal to:Statistics and Probability
Q4976If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these chosen vertices is…Statistics and Probability
Q5201Let S n denote the sum of the first n terms of an A.P. If S₄ = 16 and S₆= – 48, then S₁₀ is equal to:Sequence and Series
Q5301For x ε R, let [x] denote the greatest integer ≤ x, then the sum of the series [ - 1/3 ] + [ - 1/3 - 1/100 ] + [ - 1/3 - 2/100 ] +.... + [ - 1/3 - 99/100 ] is:Sequence and Series
Q5440If the data x₁, x₂,......., x₁₀ is such that the mean of first four of these is 11, the mean of the remaining six is 16 and the sum of squares of all of these…Statistics and Probability
Q5651The equation y = sinx sin (x + 2) – sin² (x + 1) represents a straight line lying in:Trigonometry
Q5721If the volume of parallelopiped formed by the vectors i + λ j + k, j + λ k and λ i + k is minimum, then λ is equal to:Vector Algebra
Q5807Let a = 3 i + 2 j + 2 k and b = i + 2 j - 2 k be two vectors. If a vector perpendicular to both the vectors a + b and a - b has the magnitude 12 then one such…Vector Algebra